Finding the Third Proportional to 99,738 and 213,300

Step by Step Solution

1. Step 1: Write the proportion equation
   99,738 : 213,300 = 213,300 : x
2. Step 2: Convert to fraction form
   99,738/213,300 = 213,300/x
3. Step 3: Cross multiply
   99,738x = 213,300 × 213,300
4. Step 4: Simplify right side
   99,738x = 45,496,890,000
5. Step 5: Solve for x
   x = 45,496,890,000/99,738
6. Step 6: Final answer
   x = 456,164.05